ELECTRONIC EDUCATIONAL RESOURCE ON QUALITATIVE-NUMERIC RESEARCH OF NON-AUTONOMOUS DYNAMIC SYSTEMS
Abstract
The main goal and the result of the learning process based on competence-oriented approach in education are development of competences necessary for learners to carry out professional activities. Independent work of learners is one of the required conditions for effective competences development. New understanding of the educational process goals requires the modernization of educational programs. Basic methodological approaches to such modernization, based on the principles of the Bologna Process, were developed with the involvement of Lobachevsky State University of Nizhny Novgorod. One of such approaches is the intensive use of electronic educational tools in the educational process. The article describes the electronic educational resource in a form of computer complex on qualitative-numeric research of non-autonomous dynamic systems. The electronic educational resource includes description of algorithms used for qualitative-numeric research of non-autonomous dynamic systems, the user’s guide and the example. The computer complex allows users to search for periodic solutions of dynamic systems, determine their type and character of stability, construct separatrix invariant curves of the Poincare map fixed points and time implementations. It can be used both for studying dynamic systems with certain values of parameters and for studying system evolution over time and finding bifurcations depending on used parameters, as well as constructing bifurcation diagrams in the parameter space. Independent work of learners on the course involves carrying out research assignments and discussing the research results. The use of the computer complex to support independent work of learners has led to increased motivation of learners and higher level of professional competences development.
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